204813312 has 264 divisors, whose sum is σ = 653402400. Its totient is φ = 56770560.

The previous prime is 204813299. The next prime is 204813317. The reversal of 204813312 is 213318402.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204813317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7062514 + ... + 7062542.

Almost surely, 2^204813312 is an apocalyptic number.

204813312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326701200).

204813312 is an abundant number, since it is smaller than the sum of its proper divisors (448589088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204813312 is a wasteful number, since it uses less digits than its factorization.

204813312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 204813312 is about 14311.3001505803. The cubic root of 204813312 is about 589.4578108150.

The spelling of 204813312 in words is "two hundred four million, eight hundred thirteen thousand, three hundred twelve".